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Finding the Fourth Proportional to 468.71, 646.95 and 272.30

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Solution

The fourth proportional to 468.71, 646.95 and 272.30 is: 375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.71 : 646.95 = 272.30 : x
  2. Step 2: Convert to fraction form
    468.71/646.95 = 272.30/x
  3. Step 3: Cross multiply
    468.71x = 646.95 × 272.30
  4. Step 4: Simplify right side
    468.71x = 176,161.25
  5. Step 5: Solve for x
    x = 176,161.25/468.71
  6. Step 6: Final answer
    x = 375.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.